A325951 - OEIS

%I #3 May 28 2019 07:38:35

%S 1,4,10,21,39,67,109,170,256,375,537,754,1041,1416,1901,2523,3314,

%T 4312,5563,7121,9050,11426,14338,17890,22204,27422,33709,41257,50288,

%U 61058,73863,89043,106988,128146,153029,182222,216393,256302,302813,356908,419700

%N G.f.: 1/(1-x)^3 * Product_{k>=1} (1 + x^k).

%F a(n) ~ 2 * 3^(5/4) * n^(3/4) * exp(Pi*sqrt(n/3)) / Pi^3.

%t nmax = 50; CoefficientList[Series[(1/(1-x)^3 * Product[1+x^k, {k, 1, nmax}]), {x, 0, nmax}], x]

%Y Cf. A000009, A014160, A036469, A095944, A120477, A292508.

%K nonn

%O 0,2

%A _Vaclav Kotesovec_, May 28 2019